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Simplifying -12 + -4n = 5(n + -6) Reorder the terms: -12 + -4n = 5(-6 + n) -12 + -4n = (-6 * 5 + n * 5) -12 + -4n = (-30 + 5n) Solving -12 + -4n = -30 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -12 + -4n + -5n = -30 + 5n + -5n Combine like terms: -4n + -5n = -9n -12 + -9n = -30 + 5n + -5n Combine like terms: 5n + -5n = 0 -12 + -9n = -30 + 0 -12 + -9n = -30 Add '12' to each side of the equation. -12 + 12 + -9n = -30 + 12 Combine like terms: -12 + 12 = 0 0 + -9n = -30 + 12 -9n = -30 + 12 Combine like terms: -30 + 12 = -18 -9n = -18 Divide each side by '-9'. n = 2 Simplifying n = 2
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